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• W2000646287 abstract "Relative to a given convex bodyC, aj-simplexS inC islargest if it has maximum volume (j-measure) among allj-simplices contained inC, andS isstable (resp.rigid) if vol(S)≥vol(S′) (resp. vol(S)>vol(S′)) for eachj-simplexS′ that is obtained fromS by moving a single vertex ofS to a new position inC. This paper contains a variety of qualitative results that are related to the problems of finding a largest, a stable, or a rigidj-simplex in a givenn-dimensional convex body or convex polytope. In particular, the computational complexity of these problems is studied both for -polytopes (presented as the convex hull of a finite set of points) and forℋ-polytopes (presented as an intersection of finitely many half-spaces)." @default.
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• W2000646287 date "1995-06-01" @default.
• W2000646287 modified "2023-10-16" @default.
• W2000646287 title "Largestj-simplices inn-polytopes" @default.
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• W2000646287 doi "https://doi.org/10.1007/bf02574058" @default.
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